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Finding the Fourth Proportional to 77,410.80, 116,116.37 and 21,251.67

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Solution

The fourth proportional to 77,410.80, 116,116.37 and 21,251.67 is: 31,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.80 : 116,116.37 = 21,251.67 : x
  2. Step 2: Convert to fraction form
    77,410.80/116,116.37 = 21,251.67/x
  3. Step 3: Cross multiply
    77,410.80x = 116,116.37 × 21,251.67
  4. Step 4: Simplify right side
    77,410.80x = 2,467,667,384.22
  5. Step 5: Solve for x
    x = 2,467,667,384.22/77,410.80
  6. Step 6: Final answer
    x = 31,877.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.